102200000110121 has 2 divisors, whose sum is σ = 102200000110122. Its totient is φ = 102200000110120.

The previous prime is 102200000110063. The next prime is 102200000110133. The reversal of 102200000110121 is 121011000002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97212974192896 + 4987025917225 = 9859664^2 + 2233165^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200000110121 - 2¹⁸ = 102199999847977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102200000110421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100000055060 + 51100000055061.

It is an arithmetic number, because the mean of its divisors is an integer number (51100000055061).

Almost surely, 2^{102200000110121} is an apocalyptic number.

It is an amenable number.

102200000110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200000110121 is an equidigital number, since it uses as much as digits as its factorization.

102200000110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102200000110121 its reverse (121011000002201), we get a palindrome (223211000112322).

The spelling of 102200000110121 in words is "one hundred two trillion, two hundred billion, one hundred ten thousand, one hundred twenty-one".